# Newton-Cotes Quadrature Formulas

Newton-Cotes Quadrature Formulas

This Demonstration shows the Newton–Cotes quadrature formulas of integration and their application to the integration of .

sin(x)

The Newton–Cotes integration formulas are just the integrals of interpolating polynomials.

The Newton–Cotes formulas may be "closed" if the endpoints and are used to obtain the interpolating polynomial.

x

0

x

n

The Newton–Cotes formulas are "open" if the extremes of the interval are not used to obtain the interpolating polynomial.

[a,b]